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45838911957136 = 24472360132
BaseRepresentation
bin10100110110000101101000…
…00100000110100010010000
320000022011020120220002222221
422123002310010012202100
522002011042430112021
6241254034435310424
712440515653556114
oct1233026404064220
9200264216802887
1045838911957136
111367319a866691
125183a7aa4b414
131c7678b1355ac
14b46888089744
15547596944241
hex29b0b4106890

45838911957136 has 45 divisors (see below), whose sum is σ = 90745252727961. Its totient is φ = 22431185098176.

The previous prime is 45838911957103. The next prime is 45838911957149. The reversal of 45838911957136 is 63175911983854.

The square root of 45838911957136 is 6770444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20096033779600 + 25742878177536 = 4482860^2 + 5073744^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1272825466 + ... + 1272861478.

Almost surely, 245838911957136 is an apocalyptic number.

45838911957136 is the 6770444-th square number.

It is an amenable number.

45838911957136 is a deficient number, since it is larger than the sum of its proper divisors (44906340770825).

45838911957136 is an frugal number, since it uses more digits than its factorization.

45838911957136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72128 (or 36062 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 70.

The spelling of 45838911957136 in words is "forty-five trillion, eight hundred thirty-eight billion, nine hundred eleven million, nine hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 47 94 188 376 752 2209 4418 8836 17672 35344 36013 72026 144052 288104 576208 1692611 3385222 6770444 13540888 27081776 79552717 159105434 318210868 636421736 1272843472 1296936169 2593872338 5187744676 10375489352 20750978704 60955999943 121911999886 243823999772 487647999544 975295999088 2864931997321 5729863994642 11459727989284 22919455978568 45838911957136