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10988151040 = 28529296017
BaseRepresentation
bin10100011101111000…
…11110000100000000
31001100210010220112001
422032330132010000
5140000431313130
65014202113344
7536203512526
oct121674360400
931323126461
1010988151040
114729585569
122167aab854
131061639329
147634a8316
154449ed6ca
hex28ef1e100

10988151040 has 72 divisors (see below), whose sum is σ = 27227735640. Its totient is φ = 4243685376.

The previous prime is 10988150993. The next prime is 10988151067. The reversal of 10988151040 is 4015188901.

It can be written as a sum of positive squares in 4 ways, for example, as 4669808896 + 6318342144 = 68336^2 + 79488^2 .

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, 110889 + ... + 185128.

It is an arithmetic number, because the mean of its divisors is an integer number (378162995).

Almost surely, 210988151040 is an apocalyptic number.

10988151040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10988151040 is an abundant number, since it is smaller than the sum of its proper divisors (16239584600).

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

10988151040 is an equidigital number, since it uses as much as digits as its factorization.

10988151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296067 (or 296053 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 37.

The spelling of 10988151040 in words is "ten billion, nine hundred eighty-eight million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 580 640 928 1160 1280 1856 2320 3712 4640 7424 9280 18560 37120 296017 592034 1184068 1480085 2368136 2960170 4736272 5920340 8584493 9472544 11840680 17168986 18945088 23681360 34337972 37890176 42922465 47362720 68675944 75780352 85844930 94725440 137351888 171689860 189450880 274703776 343379720 378901760 549407552 686759440 1098815104 1373518880 2197630208 2747037760 5494075520 10988151040