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20077132770 = 23351737118219
BaseRepresentation
bin10010101100101100…
…001011101111100010
31220211012200000112000
4102230230023233202
5312104221222040
613120122344430
71310346545532
oct225454135742
956735600460
1020077132770
118573022012
123a8395b116
131b7c672c26
14d866434c2
157c7905130
hex4acb0bbe2

20077132770 has 128 divisors (see below), whose sum is σ = 58220985600. Its totient is φ = 4902736896.

The previous prime is 20077132769. The next prime is 20077132853. The reversal of 20077132770 is 7723177002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110721 + ... + 228939.

It is an arithmetic number, because the mean of its divisors is an integer number (454851450).

Almost surely, 220077132770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20077132770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29110492800).

20077132770 is an abundant number, since it is smaller than the sum of its proper divisors (38143852830).

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

20077132770 is a wasteful number, since it uses less digits than its factorization.

20077132770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118289 (or 118283 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The spelling of 20077132770 in words is "twenty billion, seventy-seven million, one hundred thirty-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 37 45 51 54 74 85 90 102 111 135 153 170 185 222 255 270 306 333 370 459 510 555 629 666 765 918 999 1110 1258 1530 1665 1887 1998 2295 3145 3330 3774 4590 4995 5661 6290 9435 9990 11322 16983 18870 28305 33966 56610 84915 118219 169830 236438 354657 591095 709314 1063971 1182190 1773285 2009723 2127942 3191913 3546570 4019446 4374103 5319855 6029169 6383826 8748206 10048615 10639710 12058338 13122309 15959565 18087507 20097230 21870515 26244618 30145845 31919130 36175014 39366927 43741030 54262521 60291690 65611545 74359751 78733854 90437535 108525042 118100781 131223090 148719502 180875070 196834635 223079253 236201562 271312605 371798755 393669270 446158506 542625210 590503905 669237759 743597510 1115396265 1181007810 1338475518 2007713277 2230792530 3346188795 4015426554 6692377590 10038566385 20077132770