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37054072016 = 24132103233571
BaseRepresentation
bin100010100000100110…
…000100010011010000
310112122100202220000122
4202200212010103100
51101341320301031
625004501205412
72451143262323
oct424046042320
9115570686018
1037054072016
111479506a815
127221400868
133656950a00
141b1723c7ba
15e6d07447b
hex8a09844d0

37054072016 has 120 divisors (see below), whose sum is σ = 78969249216. Its totient is φ = 16833623040.

The previous prime is 37054071997. The next prime is 37054072039. The reversal of 37054072016 is 61027045073.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64893011 + ... + 64893581.

Almost surely, 237054072016 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 37054072016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39484624608).

37054072016 is an abundant number, since it is smaller than the sum of its proper divisors (41915177200).

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

37054072016 is a wasteful number, since it uses less digits than its factorization.

37054072016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 37054072016 in words is "thirty-seven billion, fifty-four million, seventy-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 103 104 169 206 208 233 338 412 466 571 676 824 932 1142 1339 1352 1648 1864 2284 2678 2704 3029 3728 4568 5356 6058 7423 9136 10712 12116 14846 17407 21424 23999 24232 29692 34814 39377 47998 48464 58813 59384 69628 78754 95996 96499 117626 118768 133043 139256 157508 191992 192998 235252 266086 278512 311987 315016 383984 385996 470504 532172 623974 630032 764569 771992 941008 1064344 1247948 1529138 1543984 1729559 2128688 2495896 3058276 3459118 4055831 4991792 6116552 6918236 8111662 9939397 12233104 13703429 13836472 16223324 19878794 22484267 27406858 27672944 32446648 39757588 44968534 54813716 64893296 79515176 89937068 109627432 159030352 178144577 179874136 219254864 356289154 359748272 712578308 1425156616 2315879501 2850313232 4631759002 9263518004 18527036008 37054072016