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2149604976 = 2431931139547
BaseRepresentation
bin1000000000100000…
…0101111001110000
312112210212020200010
42000020011321300
513400244324401
6553145254520
7104161224621
oct20010057160
95483766603
102149604976
11a0343a042
124bba94440
1328346850c
141656bda48
15c8ab4ed6
hex80205e70

2149604976 has 160 divisors (see below), whose sum is σ = 6088499200. Its totient is φ = 651006720.

The previous prime is 2149604923. The next prime is 2149604983. The reversal of 2149604976 is 6794069412.

It is a happy number.

It is a super-3 number, since 3×21496049763 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3929535 + ... + 3930081.

It is an arithmetic number, because the mean of its divisors is an integer number (38053120).

Almost surely, 22149604976 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 2149604976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044249600).

2149604976 is an abundant number, since it is smaller than the sum of its proper divisors (3938894224).

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

2149604976 is a wasteful number, since it uses less digits than its factorization.

2149604976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2149604976 is about 46363.8326284616. The cubic root of 2149604976 is about 1290.5838304350.

The spelling of 2149604976 in words is "two billion, one hundred forty-nine million, six hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 139 152 186 228 248 278 304 372 417 456 496 547 556 589 744 834 912 1094 1112 1178 1488 1641 1668 1767 2188 2224 2356 2641 3282 3336 3534 4309 4376 4712 5282 6564 6672 7068 7923 8618 8752 9424 10393 10564 12927 13128 14136 15846 16957 17236 20786 21128 25854 26256 28272 31179 31692 33914 34472 41572 42256 50871 51708 62358 63384 67828 68944 76033 81871 83144 101742 103416 124716 126768 135656 152066 163742 166288 203484 206832 228099 245613 249432 271312 304132 322183 327484 406968 456198 491226 498864 608264 644366 654968 813936 912396 966549 982452 1216528 1288732 1309936 1444627 1824792 1933098 1964904 2357023 2577464 2889254 3649584 3866196 3929808 4333881 4714046 5154928 5778508 7071069 7732392 8667762 9428092 11557016 14142138 15464784 17335524 18856184 23114032 28284276 34671048 37712368 44783437 56568552 69342096 89566874 113137104 134350311 179133748 268700622 358267496 537401244 716534992 1074802488 2149604976