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153749942070 = 235237325112161
BaseRepresentation
bin1000111100110000110…
…1011110111100110110
3112200212002122022022220
42033030031132330312
510004334441121240
6154344242503210
714052031641654
oct2171415367466
9480762568286
10153749942070
115a22891a12a
122596a664b06
131166343acaa
147627811dd4
153eece0d5d0
hex23cc35ef36

153749942070 has 128 divisors (see below), whose sum is σ = 391905174528. Its totient is φ = 38522880000.

The previous prime is 153749942057. The next prime is 153749942113. The reversal of 153749942070 is 70249947351.

It is a happy number.

It is a congruent number.

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, 12636790 + ... + 12648950.

It is an arithmetic number, because the mean of its divisors is an integer number (3061759176).

Almost surely, 2153749942070 is an apocalyptic number.

153749942070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153749942070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195952587264).

153749942070 is an abundant number, since it is smaller than the sum of its proper divisors (238155232458).

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

153749942070 is a wasteful number, since it uses less digits than its factorization.

153749942070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12518.

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 153749942070 in words is "one hundred fifty-three billion, seven hundred forty-nine million, nine hundred forty-two thousand, seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 73 115 138 146 219 230 251 345 365 438 502 690 730 753 1095 1255 1506 1679 2190 2510 3358 3765 5037 5773 7530 8395 10074 11546 12161 16790 17319 18323 24322 25185 28865 34638 36483 36646 50370 54969 57730 60805 72966 86595 91615 109938 121610 173190 182415 183230 274845 279703 364830 421429 549690 559406 839109 842858 887753 1264287 1398515 1678218 1775506 2107145 2528574 2663259 2797030 3052411 4195545 4214290 4438765 5326518 6104822 6321435 8391090 8877530 9157233 12642870 13316295 15262055 18314466 20418319 26632590 30524110 40836638 45786165 61254957 70205453 91572330 102091595 122509914 140410906 204183190 210616359 222826003 306274785 351027265 421232718 445652006 612549570 668478009 702054530 1053081795 1114130015 1336956018 2106163590 2228260030 3342390045 5124998069 6684780090 10249996138 15374994207 25624990345 30749988414 51249980690 76874971035 153749942070