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670761014004 = 22322313119013253
BaseRepresentation
bin10011100001011000111…
…10001101001011110100
32101010100111012000022200
421300230132031023310
541442204304422004
61232050544224500
766314040355254
oct11605436151364
92333314160280
10670761014004
11239517118764
12a9bb860b130
134b3389578b3
1424671d97964
15126ac1a4239
hex9c2c78d2f4

670761014004 has 144 divisors (see below), whose sum is σ = 1784245567104. Its totient is φ = 212056416000.

The previous prime is 670761013987. The next prime is 670761014009. The reversal of 670761014004 is 400410167076.

670761014004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6707610140042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 670761014004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670761014009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206196042 + ... + 206199294.

It is an arithmetic number, because the mean of its divisors is an integer number (12390594216).

Almost surely, 2670761014004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670761014004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892122783552).

670761014004 is an abundant number, since it is smaller than the sum of its proper divisors (1113484553100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

670761014004 is a wasteful number, since it uses less digits than its factorization.

670761014004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 670761014004 in words is "six hundred seventy billion, seven hundred sixty-one million, fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 131 138 207 262 276 393 414 524 786 828 1179 1572 1901 2358 3013 3253 3802 4716 5703 6026 6506 7604 9039 9759 11406 12052 13012 17109 18078 19518 22812 27117 29277 34218 36156 39036 43723 54234 58554 68436 74819 87446 108468 117108 131169 149638 174892 224457 249031 262338 299276 393507 426143 448914 498062 524676 673371 747093 787014 852286 897828 996124 1278429 1346742 1494186 1574028 1704572 2241279 2556858 2693484 2988372 3835287 4482558 5113716 5727713 6183953 7670574 8965116 9801289 11455426 12367906 15341148 17183139 18551859 19602578 22910852 24735812 29403867 34366278 37103718 39205156 51549417 55655577 58807734 68732556 74207436 88211601 103098834 111311154 117615468 142230919 176423202 206197668 222622308 284461838 352846404 426692757 568923676 810097843 853385514 1280078271 1620195686 1706771028 2430293529 2560156542 3240391372 4860587058 5120313084 7290880587 9721174116 14581761174 18632250389 29163522348 37264500778 55896751167 74529001556 111793502334 167690253501 223587004668 335380507002 670761014004