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1158690816 = 21132371699
BaseRepresentation
bin100010100010000…
…0011100000000000
32222202021120222200
41011010003200000
54333111101231
6310550433200
740466465223
oct10504034000
92882246880
101158690816
11545061618
12284062800
1315608ca8a
14adc595ba
156bacabe6
hex45103800

1158690816 has 144 divisors (see below), whose sum is σ = 3438981000. Its totient is φ = 375570432.

The previous prime is 1158690773. The next prime is 1158690839. The reversal of 1158690816 is 6180968511.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681135 + ... + 682833.

Almost surely, 21158690816 is an apocalyptic number.

1158690816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1158690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719490500).

1158690816 is an abundant number, since it is smaller than the sum of its proper divisors (2280290184).

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

1158690816 is a wasteful number, since it uses less digits than its factorization.

1158690816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1158690816 is about 34039.5478230837. The cubic root of 1158690816 is about 1050.3221433322.

The spelling of 1158690816 in words is "one billion, one hundred fifty-eight million, six hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1699 1776 2048 2304 2368 2664 3072 3398 3552 4608 4736 5097 5328 6144 6796 7104 9216 9472 10194 10656 13592 14208 15291 18432 18944 20388 21312 27184 28416 30582 37888 40776 42624 54368 56832 61164 62863 75776 81552 85248 108736 113664 122328 125726 163104 170496 188589 217472 227328 244656 251452 326208 340992 377178 434944 489312 502904 565767 652416 681984 754356 869888 978624 1005808 1131534 1304832 1508712 1739776 1957248 2011616 2263068 2609664 3017424 3479552 3914496 4023232 4526136 5219328 6034848 7828992 8046464 9052272 10438656 12069696 15657984 16092928 18104544 24139392 31315968 32185856 36209088 48278784 64371712 72418176 96557568 128743424 144836352 193115136 289672704 386230272 579345408 1158690816