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3013497540928 = 267193203917093
BaseRepresentation
bin101011110110100010011…
…100110101000101000000
3101200002100211021101202101
4223312202130311011000
5343333120332302203
610224214234400144
7430501164314260
oct53664234650500
911602324241671
103013497540928
11a62020888a86
12408052290054
1318b230005604
14a5bd57777a0
15535c46c541d
hex2bda2735140

3013497540928 has 112 divisors (see below), whose sum is σ = 6873363383040. Its totient is φ = 1284101996544.

The previous prime is 3013497540919. The next prime is 3013497540959. The reversal of 3013497540928 is 8290457943103.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176291550 + ... + 176308642.

It is an arithmetic number, because the mean of its divisors is an integer number (61369315920).

Almost surely, 23013497540928 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 3013497540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436681691520).

3013497540928 is an abundant number, since it is smaller than the sum of its proper divisors (3859865842112).

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

3013497540928 is a wasteful number, since it uses less digits than its factorization.

3013497540928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19344 (or 19334 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 3013497540928 in words is "three trillion, thirteen billion, four hundred ninety-seven million, five hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 193 224 386 448 772 1351 1544 2039 2702 3088 4078 5404 6176 8156 10808 12352 14273 16312 17093 21616 28546 32624 34186 43232 57092 65248 68372 86464 114184 119651 130496 136744 228368 239302 273488 393527 456736 478604 546976 787054 913472 957208 1093952 1574108 1914416 2754689 3148216 3298949 3828832 5509378 6296432 6597898 7657664 11018756 12592864 13195796 22037512 23092643 25185728 26391592 34852627 44075024 46185286 52783184 69705254 88150048 92370572 105566368 139410508 176300096 184741144 211132736 243968389 278821016 369482288 487936778 557642032 738964576 975873556 1115284064 1477929152 1951747112 2230568128 3903494224 6726557011 7806988448 13453114022 15613976896 26906228044 47085899077 53812456088 94171798154 107624912176 188343596308 215249824352 376687192616 430499648704 753374385232 1506748770464 3013497540928