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70368744260608 = 210891027375161
BaseRepresentation
bin10000000000000000000000…
…000000010100010000000000
3100020011012000210000001210221
4100000000000000110100000
533210410142012314413
6405354542124432424
720551655040106303
oct2000000000242000
9306135023001727
1070368744260608
1120470242697942
127a85b260a8714
133035989a70ba1
141353c18900b3a
158206bc41968d
hex400000014400

70368744260608 has 88 divisors (see below), whose sum is σ = 142265056701240. Its totient is φ = 34785192837120.

The previous prime is 70368744260567. The next prime is 70368744260627. The reversal of 70368744260608 is 80606244786307.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 70368744177664 = 288^2 + 8388608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 936202548 + ... + 936277708.

It is an arithmetic number, because the mean of its divisors is an integer number (1616648371605).

Almost surely, 270368744260608 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 70368744260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71132528350620).

70368744260608 is an abundant number, since it is smaller than the sum of its proper divisors (71896312440632).

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

70368744260608 is a wasteful number, since it uses less digits than its factorization.

70368744260608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85543 (or 85525 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 61.

The spelling of 70368744260608 in words is "seventy trillion, three hundred sixty-eight billion, seven hundred forty-four million, two hundred sixty thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1024 1424 2848 5696 10273 11392 20546 22784 41092 45568 75161 82184 91136 150322 164368 300644 328736 601288 657472 914297 1202576 1314944 1828594 2405152 2629888 3657188 4810304 5259776 6689329 7314376 9620608 10519552 13378658 14628752 19241216 26757316 29257504 38482432 53514632 58515008 76964864 107029264 117030016 214058528 234060032 428117056 468120064 772128953 856234112 936240128 1544257906 1712468224 3088515812 3424936448 6177031624 6849872896 12354063248 24708126496 49416252992 68719476817 98832505984 137438953634 197665011968 274877907268 395330023936 549755814536 790660047872 1099511629072 2199023258144 4398046516288 8796093032576 17592186065152 35184372130304 70368744260608