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10012249947504 = 243753562233263
BaseRepresentation
bin1001000110110010100010…
…0110011111110101110000
31022110011100220200001200210
42101230220212133311300
52303020041441310004
633143321503544120
72052234613234050
oct221545046376560
938404326601623
1010012249947504
113210198092982
1211585362bb040
135781c701487c
1426884a011560
151256955d7089
hex91b2899fd70

10012249947504 has 80 divisors (see below), whose sum is σ = 30117711485952. Its totient is φ = 2806668443904.

The previous prime is 10012249947487. The next prime is 10012249947509. The reversal of 10012249947504 is 40574994221001.

10012249947504 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 2×100122499475042 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012249947509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281098824 + ... + 281134439.

Almost surely, 210012249947504 is an apocalyptic number.

10012249947504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10012249947504 is an abundant number, since it is smaller than the sum of its proper divisors (20105461538448).

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

10012249947504 is a wasteful number, since it uses less digits than its factorization.

10012249947504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562233334 (or 562233328 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 10012249947504 in words is "ten trillion, twelve billion, two hundred forty-nine million, nine hundred forty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 4452 5936 8904 17808 562233263 1124466526 1686699789 2248933052 3373399578 3935632841 4497866104 6746799156 7871265682 8995732208 11806898523 13493598312 15742531364 23613797046 26987196624 29798362939 31485062728 47227594092 59596725878 62970125456 89395088817 94455188184 119193451756 178790177634 188910376368 208588540573 238386903512 357580355268 417177081146 476773807024 625765621719 715160710536 834354162292 1251531243438 1430321421072 1668708324584 2503062486876 3337416649168 5006124973752 10012249947504