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40007058688 = 28975033203
BaseRepresentation
bin100101010000100110…
…110100010100000000
310211021011100011012101
4211100212310110000
51123413301334223
630213510040144
72614261250032
oct452046642400
9124234304171
1040007058688
1115a6aa3a373
127906349054
133a076843bc
141d174c7c52
15109242d4ad
hex9509b4500

40007058688 has 72 divisors (see below), whose sum is σ = 80866755648. Its totient is φ = 19751780352.

The previous prime is 40007058667. The next prime is 40007058701. The reversal of 40007058688 is 88685070004.

It is a congruent number.

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, 12488895 + ... + 12492097.

It is an arithmetic number, because the mean of its divisors is an integer number (1123149384).

Almost surely, 240007058688 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 40007058688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40433377824).

40007058688 is an abundant number, since it is smaller than the sum of its proper divisors (40859696960).

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

40007058688 is an equidigital number, since it uses as much as digits as its factorization.

40007058688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 40007058688 in words is "forty billion, seven million, fifty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 503 776 1006 1552 2012 3104 3203 4024 6208 6406 8048 12416 12812 16096 24832 25624 32192 48791 51248 64384 97582 102496 128768 195164 204992 310691 390328 409984 621382 780656 819968 1242764 1561312 1611109 2485528 3122624 3222218 4971056 6245248 6444436 9942112 12490496 12888872 19884224 25777744 39768448 51555488 79536896 103110976 156277573 206221952 312555146 412443904 625110292 1250220584 2500441168 5000882336 10001764672 20003529344 40007058688